Recent developments of the conditional stability of the homomorphism equation

J Brzdęk, W Fechner, MS Moslehian… - Banach journal of …, 2015 - projecteuclid.org
The issue of Ulam's type stability of an equation is understood in the following way: when a
mapping which satisfies the equation approximately (in some sense), it is" close" to a …

[图书][B] Fractional differential equations and inclusions: classical and advanced topics

S Abbas, M Benchohra, JE Lazreg, JJ Nieto, Y Zhou - 2023 - World Scientific
In this chapter, we introduce notations, definitions, and preliminary facts that will be used in
the remainder of this book. Some notations and definitions from the fractional calculus, some …

[PDF][PDF] Existence and Ulam stability for nonlinear implicit fractional differential equations with Hadamard derivative

M Benchohra, JE Lazreg - Stud. Univ. Babes-Bolyai Math, 2017 - researchgate.net
Existence and Ulam stability for nonlinear implicit fractional differential equations with Hadamard
derivative Page 1 Stud. Univ. Babes-Bolyai Math. 62(2017), No. 1, 27–38 DOI …

Existence and stability results for nonlinear boundary value problem for implicit differential equations of fractional order

M Benchohra, S Bouriah - Moroccan Journal of Pure and Applied Analysis, 2015 - Springer
In this paper, we establish sufficient conditions for the existence and stability of solutions for
a class of boundary value problem for implicit fractional differential equations with Caputo …

On stability for nonlinear implicit fractional differential equations

M Benchohra, JE Lazreg - Le Matematiche, 2015 - lematematiche.dmi.unict.it
ON STABILITY FOR NONLINEAR IMPLICIT FRACTIONAL DIFFERENTIAL EQUATIONS
MOUFFAK BENCHOHRA - JAMAL E. LAZREG Page 1 LE MATEMATICHE Vol. LXX (2015) …

[图书][B] Stability of functional equations in Banach algebras

YJ Cho, C Park, TM Rassias, R Saadati, YJ Cho… - 2015 - Springer
Beginning around the year 1980, the topic of approximate homomorphisms and derivations
and their stability theory in the field of functional equations and inequalities was taken up by …

A fixed point theorem and Ulam stability of a general linear functional equation in random normed spaces

C Benzarouala, J Brzdęk, L Oubbi - Journal of Fixed Point Theory and …, 2023 - Springer
We prove a very general fixed point theorem in the space of functions taking values in a
random normed space (RN-space). Next, we show several of its consequences and, among …

Ulam–Hyers–Rassias stability for nonlinear Ψ-Hilfer stochastic fractional differential equation with uncertainty

R Chaharpashlou, R Saadati, A Atangana - Advances in Difference …, 2020 - Springer
We consider a nonlinear Cauchy problem involving the Ψ-Hilfer stochastic fractional
derivative with uncertainty, and we give a stability result. Using fixed point theory, we are …

On Ulam stability with respect to 2-norm

J Brzdęk - Symmetry, 2023 - mdpi.com
The Ulam stability of various equations (eg, differential, difference, integral, and functional)
concerns the following issue: how much does an approximate solution of an equation differ …

Survey on metric fixed point theory and applications

YJ Cho - Advances in Real and Complex Analysis with …, 2017 - Springer
Abstract Fixed Point Theory is divided into the following three major areas: Topological
Fixed Point Theory, which came from Brouwer's fixed point theorem in 1912; Metric Fixed …